Journal of Integer Sequences, Vol. 19 (2016), Article 16.8.5

A Note on a Theorem of Schumacher

Antônio Francisco Neto
DEPRO, Escola de Minas
Campus Morro do Cruzeiro, UFOP
35400-000 Ouro Preto MG


In this paper, we give a short new proof of a recent result due to Schumacher concerning an extension of Faulhaber's identity for the Bernoulli numbers. Our approach follows from basic manipulations involving the ordinary generating function for the Bernoulli polynomials in the context of the Zeon algebra.

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(Concerned with sequences A027641 A027642.)

Received June 19 2016; revised version received October 1 2016. Published in Journal of Integer Sequences, October 10 2016.

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